If nonstop is a priority, US Airways does LAX--BWI a couple times a day. They also have connections. Granted, BWI may not be as convenient to Washington as DCA-- you make the call.
Bear in mind that a comp with CO gives you unlimited upgrades with NW and America West. America West does DCA--CMH--LAX... CMH is your easiest connection in the midwest, IMHO (other than Midwest Express via Omaha).
Could you ask for comps on CO and on US, then decide later??
[This message has been edited by Viajero Joven (edited 06-26-2001).]